- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:43
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
18
2002
3
Global existence for the discrete diffusive coagulation-fragmentation equations in $L^1$
Philippe
Laurençot
Université de Toulouse, TOULOUSE CEDEX 9, FRANCE
Stéphane
Mischler
Université de Paris-Dauphine, PARIS CEDEX 16, FRANCE
Cluster growth, coalescence, breakage, infinite system of reaction-diffusion equations, existence, weak compactness
Existence of global weak solutions to the discrete coagulation-fragmentation equations with diffusion is proved under general assumptions on the coagulation and fragmentation coefficients. Unlike previous works requiring $L^\infty$-estimates, an $L^1$-approach is developed here which relies on weak and strong compactness methods in $L^1$.
Partial differential equations
Statistical mechanics, structure of matter
General
731
745
10.4171/RMI/334
http://www.ems-ph.org/doi/10.4171/RMI/334